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139075104 = 2537349593
BaseRepresentation
bin10000100101000…
…01111000100000
3100200200202011210
420102201320200
5241100400404
621444510120
73306055530
oct1022417040
9320622153
10139075104
1171560203
123a6ab340
1322a7537c
14146834c0
15c322689
hex84a1e20

139075104 has 96 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 39555072.

The previous prime is 139075103. The next prime is 139075121. The reversal of 139075104 is 401570931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1390751042 = 38683769105221632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139075103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234232 + ... + 234824.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2139075104 is an apocalyptic number.

139075104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

139075104 is an abundant number, since it is smaller than the sum of its proper divisors (280051296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

139075104 is a wasteful number, since it uses less digits than its factorization.

139075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 139075104 is about 11793.0108114934. The cubic root of 139075104 is about 518.1034264244.

The spelling of 139075104 in words is "one hundred thirty-nine million, seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 349 593 672 698 1047 1186 1396 1779 2094 2372 2443 2792 3558 4151 4188 4744 4886 5584 7116 7329 8302 8376 9488 9772 11168 12453 14232 14658 16604 16752 18976 19544 24906 28464 29316 33208 33504 39088 49812 56928 58632 66416 78176 99624 117264 132832 199248 206957 234528 398496 413914 620871 827828 1241742 1448699 1655656 2483484 2897398 3311312 4346097 4966968 5794796 6622624 8692194 9933936 11589592 17384388 19867872 23179184 34768776 46358368 69537552 139075104